Noise excitation has been applied to the problem of a spin-3/2 quadrupolar nuclear spins in zero magnetic field. We demonstrate that high-sensitivity spectra can be observed with very weak rf pulses and that the growth in signal intensities follows a universal curve which is simply related to the applied pulse angle, the spacing between those pulses, and the T-1 of the nuclear spin system. These signal intensites are closely related to those observed in NMR experiments exploiting similar excitation sequences. Such sequences have numerous practical advantages and in particular may be applied to large volume samples, or to nuclear spins which interact only weakly with magnetic fields, without sacrifice in either spectral bandwidth or signal intensity.